Least Common Multiple of 4096/703, 7004/8968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4096/703, 7004/8968 quickly i.e. 7172096/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4096/703, 7004/8968 is 7172096/19.

LCM(4096/703, 7004/8968) = 7172096/19

LCM of 4096/703, 7004/8968

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 4096/703,7004/8968

Given numbers are 4096/703,7004/8968

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 4096,7004

Least Common Multiple of Numerators i.e. LCM of 4096,7004 is 7172096.

GCF of Denominators means GCF of 703,8968 as per the given fractions.

GCF of 703,8968 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4096,7004

LCM of Fractions 4096/703,7004/8968 is 7172096/19

2 4096, 7004
2 2048, 3502
1024, 1751

∴ So the LCM of the given numbers is 2 x 2 x 1024 x 1751 = 7172096

Least Common Multiple of 4096,7004 with GCF Formula

Least Common Multiple of 4096,7004 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 4096,7004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4096,7004) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(4096,7004) x common factors =4 x 1 = 4

LCM(4096,7004) = ( 4096 × 7004 ) / 4

LCM(4096,7004) = 28688384 / 4

LCM(4096,7004) = 7172096


Lets's calculate GCF of 703,8968

19 703, 8968
37, 472

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7172096/19

Therefore the LCM of Fractions 4096/703,7004/8968 is 7172096/19

Greatest Common Factor of 703,8968 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,8968 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 8968

List of positive integer factors of 8968 that divides 8968 without a remainder.

1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968

Greatest Common Factor

We found the factors 703,8968 . The biggest common factor number is the GCF number.
So the greatest common factor 703,8968 is 19.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 4096/703, 7004/8968

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 4096/703, 7004/8968?

Answer: LCM of Numerators as per given numbers 4096/703, 7004/8968 is

LCM of Numerators i.e. for 4096,7004 is 7172096

GCF of denominators i.e. for 703,8968 is 19.

Thus, LCM of Fractions is 7172096/19.Finally, LCM of Fractions for 4096/703, 7004/8968 is 7172096/19.